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3 years ago

What is the compound interest of $1000 at 12%compounded monthlyfor 2 years

Mathematics

2 answers:

galina1969 [7]3 years ago

8 0

Answer:

1254.4

Step-by-step explanation:

nevsk [136]3 years ago

8 0

Answer:

The amount is $1269.74 and the interest is $269.74.

Step-by-step explanation:

STEP 1: To find amount we use formula:

AAAA=1000(1+0.1212)12⋅2=1000⋅1.0124=1000⋅1.269735=1269.74

STEP 2: To find interest we use formula A=P+I, since A=1269.74 and P = 1000 we have:

A1269.74II=P+I=1000+I=1269.74−1000=269.74

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Solve 4^x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.

valentinak56 [21]

The value of x is 1.66

Step-by-step explanation:

Let use revise the rules of exponential and logarithmic equations

1. If y = $b^{x}$ , then $log_{b}(y)=x$

2. $log_{b}(y) = \frac{log(y)}{log(b)}$

Use the rules above to solve the problem

∵ $4^{x}+2=12$

- Subtract 2 from both sides

∴ $4^{x}=10$

change the exponential equation to logarithmic equation

∴ $log_{4}(10)=x$

∵ $log_{4}(10) = \frac{log(10)}{log(4)}$

∴ x = $\frac{log(10)}{log(4)}$

∴ x = 1.66

The value of x is 1.66

Learn more:

You can learn more about logarithmic function in brainly.com/question/10633485

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3 years ago

What is the slope of a line parallel to the line whose equation is x-y=-3?

lapo4ka [179]

Answer:

Step-by-step explanation:

slope must be same because it is paralel

6 0

3 years ago

PLEASE HELP! THANK YOU! Hint: It’s not C.

Jlenok [28]

The correct answer is A. Each of the y values are 4 times their respective x values

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3 years ago

Errors in an experimental transmission channel are found when thetransmission is checked by a certifier that detects missing pul

irina1246 [14]

Answer:

As shown below

Step-by-step explanation:

Given that when X denotes the errors in an experimental transmission channel, when checked by a certifier that detects missing pulses. follows the cumulative density function as given below:

$F(x) = 0, 0$

$(a) P(X \leq 4) =F(4) = 0.9\\(b) P(X > 7)=1-F(8) = 0\\(c) P(X \leq 5)=F(6) = 0.9 \\(d) P(X> 4)=1-F(4)=1-0.9=0.1 \\(e) P(X \leq 2)=F(3) = 0.7$

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3 years ago

Find the values of x and y. Pls helpI’m helpless at math

Svetradugi [14.3K]

Answer:

x = 1

$y=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The adjacent to the angle ∠60° is 1/2.

The opposite to the angle ∠60° is y.

The hypotenuse = x

<u>Determining the value of x:</u>

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

$cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}$

$\cos \left(60^{\circ \:}\right)=\frac{1}{2x}$

$\frac{1}{2}=\frac{1}{2x}$ ∵ cos (60°) = 1/2

$2x=2$

Dividing both sides by 2

$\frac{2x}{2}=\frac{2}{2}$

Simplify

$x=1$

Thus, the value of hypotenuse x is:

x = 1

<u>Determining the value of y:</u>

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

$y=\frac{\sqrt{3}}{2}$ ∵ $\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}$

Therefore, the value of y is:

$y=\frac{\sqrt{3}}{2}$

Summary:

x = 1

$y=\frac{\sqrt{3}}{2}$

5 0

3 years ago

What is the compound interest of $1000 at 12%compounded monthlyfor 2 years​

What is the compound interest of $1000 at 12%compounded monthlyfor 2 years